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Finding the Third Proportional to 98,296 and 209,462

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Solution

The third proportional to 98,296 and 209,462 is: 446,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296 : 209,462 = 209,462 : x
  2. Step 2: Convert to fraction form
    98,296/209,462 = 209,462/x
  3. Step 3: Cross multiply
    98,296x = 209,462 × 209,462
  4. Step 4: Simplify right side
    98,296x = 43,874,329,444
  5. Step 5: Solve for x
    x = 43,874,329,444/98,296
  6. Step 6: Final answer
    x = 446,349.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.